However definitely not that precise. You wouldn't want to miss that final touch to the tenderness of the meat that only a precise instrument can give. Nor would you want to spend more energy on heating the oven than necessary.
A loaf of meat has a specific heat of ~3 kJ/(kg * °C) (
from here). The piece of meat in the op's picture looks about 2 kg in mass. Therefore we have an energy requirement of ~6 kJ/°C. Exceeding the target temperature by only 1 °C results in 6000 Ws of excess energy or 1.7 Wh.
There are ~ 2 billion adherents to christianity in the world (
wolfram alpha). Assuming an average of 4 persons per household (my estimate), we get ~500 million households. Let only 0.1 % of those households have a tender piece of meat for Easter, that makes 500000 pieces of meat. If each piece is on the average 2 kg, then the energy wasted worldwide by overheating the Easter roast by 1 °C is
0.87 MWh
Doesn't this justify the investment in a good instrument?